- MLC calc 1 review
- Today (Thursday), 6:00 - 7:30 PM
- Newton 214
- Math colloquium
- “Solutions to Polynomials in Two Variables”
- Also today, 5:00 - 6:00 PM
- Newton 204
- Extra Credit (equivalent to up to 2 points on a problem set) for going and writing a 1-paragraph summary
- Growth rates
- Towers of Hanoi
- Takes 2n moves to solve n-disk puzzle
- At 100 moves/second, 30 disks takes about 10,000,000 seconds = 3000 hours = 125 days
- Graphs
- Graphed on axes where ex is visible, y=x looks just like a flat line at y=0
- Similarly, if you graph y = x on axes where it is visible, and over a reasonably large interval of x values, say 0 to 100, lnx looks flat
- Moral: If one function is exponentially larger than another, the smaller function might as well not be there at all
- Towers of Hanoi
- Examples
- Derivatives and integrals involving bases other than e
- Raise something other than e to a power
- Integration of exponential whose base is something beside e
- Derivatives and integrals involving bases other than e
- Inverse trig functions and hyperbolic functions
- Read
- Section 7.6 (inverse trigonometric functions)
- “Definitions and Identities” subsection of 7.7 (hyperbolic functions)